The symmetry reduction of variational integrals, complement
Veronika Chrastinová; Václav Tryhuk
Mathematica Bohemica (2018)
- Volume: 143, Issue: 4, page 431-439
- ISSN: 0862-7959
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topChrastinová, Veronika, and Tryhuk, Václav. "The symmetry reduction of variational integrals, complement." Mathematica Bohemica 143.4 (2018): 431-439. <http://eudml.org/doc/294170>.
@article{Chrastinová2018,
abstract = {Some open problems appearing in the primary article on the symmetry reduction are solved. A new and quite simple coordinate-free definition of Poincaré-Cartan forms and the substance of divergence symmetries (quasisymmetries) are clarified. The unbeliavable uniqueness and therefore the global existence of Poincaré-Cartan forms without any uncertain multipliers for the Lagrange variational problems are worth extra mentioning.},
author = {Chrastinová, Veronika, Tryhuk, Václav},
journal = {Mathematica Bohemica},
keywords = {Lagrange variational problem; Poincaré-Cartan form; symmetry reduction},
language = {eng},
number = {4},
pages = {431-439},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The symmetry reduction of variational integrals, complement},
url = {http://eudml.org/doc/294170},
volume = {143},
year = {2018},
}
TY - JOUR
AU - Chrastinová, Veronika
AU - Tryhuk, Václav
TI - The symmetry reduction of variational integrals, complement
JO - Mathematica Bohemica
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 143
IS - 4
SP - 431
EP - 439
AB - Some open problems appearing in the primary article on the symmetry reduction are solved. A new and quite simple coordinate-free definition of Poincaré-Cartan forms and the substance of divergence symmetries (quasisymmetries) are clarified. The unbeliavable uniqueness and therefore the global existence of Poincaré-Cartan forms without any uncertain multipliers for the Lagrange variational problems are worth extra mentioning.
LA - eng
KW - Lagrange variational problem; Poincaré-Cartan form; symmetry reduction
UR - http://eudml.org/doc/294170
ER -
References
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- Tryhuk, V., Chrastinová, V., 10.1515/ms-2015-0198, Math. Slovaca 66 (2016), 999-1018. (2016) Zbl06662105MR3567912DOI10.1515/ms-2015-0198
- Tryhuk, V., Chrastinová, V., 10.21136/MB.2017.0008-17, Math. Bohemica 143 (2018), 291-328. (2018) Zbl06940885MR3852296DOI10.21136/MB.2017.0008-17
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